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Inessa [10]
2 years ago
7

A figure is dilated by a

Mathematics
1 answer:
Reptile [31]2 years ago
5 0

Answer: 1.5x

Step-by-step explanation:

If the figure dilates by 1.5 times it will increasingly do the same with the perimeter. It keeps the same ratio of 1.5x.

Ex: If a side of the figure was originally 10 and the dilation factor is 1.5 the side now with be 15. This goes for all sides.

Hope this helps!

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\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{13})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-2)]^2+[13-5]^2}\implies r=\sqrt{(4+2)^2+(13-5)^2} \\\\\\ r=\sqrt{36+64}\implies r=\sqrt{100}\implies r=10 \\\\[-0.35em] ~\dotfill

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-2}{ h},\stackrel{5}{ k})\qquad \qquad radius=\stackrel{10}{ r}\\[2em] [x-(-2)]^2+[y-5]^2=10^2\implies (x+2)^2+(y-5)^2=100

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